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Controllability of fractional impulsive quasilinear differential systems with state dependent delay

In this paper, we study some controllability results for an abstract fractional impulsive quasilinear integro-differential system with state-dependent delay. We will use the concepts of fractional calculus, measure of noncompactness… Click to show full abstract

In this paper, we study some controllability results for an abstract fractional impulsive quasilinear integro-differential system with state-dependent delay. We will use the concepts of fractional calculus, measure of noncompactness and abstract phase space to come up with a new set of sufficient conditions for controllability by using Mönch’s fixed point theorem. Finally, an application is given to illustrate the obtained results.

Keywords: dependent delay; state dependent; fractional impulsive; impulsive quasilinear; controllability

Journal Title: International Journal of Dynamics and Control
Year Published: 2019

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